Atkin-Lehner |
2+ 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120f |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-475776000 = -1 · 210 · 32 · 53 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 3 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-456,-3744] |
[a1,a2,a3,a4,a6] |
j |
-10262905636/464625 |
j-invariant |
L |
2.0604481601762 |
L(r)(E,1)/r! |
Ω |
0.51511208844338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49560h1 |
Quadratic twists by: -4 |